Matches in SemOpenAlex for { <https://semopenalex.org/work/W2080084518> ?p ?o ?g. }
Showing items 1 to 85 of
85
with 100 items per page.
- W2080084518 abstract "An approach to the development of a second- and higher-order perturbation theory for two- body trajectories is presented. It is shown that the higher order analysis can be developed in a systematic manner in terms of series solutions to the two-body problem as functions of the time variable. Simple algebraic recursive formulas for the determination of the series coeffi- cients are derived and the radii of convergence for these series solutions are determined. Their accuracy and the rate of convergence are investigated in a number of numerical cases. ingly more precise mission objectives and with long flight times. It is the purpose of this paper to present an approach to the higher order perturbation analysis of two-body trajec- tories. A second-order theory, involving second partial derivatives of the six-dimensional state vector of a spacecraft at a given time with respect to the state vector at an initial epoch, is con- sidered in detail. It is shown that a second as well as higher order theory can be developed in a simple and systematic manner using power series solutions of the two-body problem as functions of the time variable, a technique suggested by the theory of Lie series.1 In this paper, the series representa- tions associated with the second-order theory are developed; they are uniformly valid for all two-body conies. It is shown that the coefficients of these series expansions can be generated by simple algebraic recursive formulas, and their radii of con- vergence can be determined analytically. The rate of convergence and truncation error associated with these series representations are investigated in a number of numerical cases. Results indicate that the convergence characteristics and accuracies can in general be estimated in terms of the eccentricity and the position vector at the initial epoch. Generally speaking, the results exhibit good con- vergence characteristics for elliptical orbits covering less than one orbital revolution. Results for hyperbolic orbits are less favorable." @default.
- W2080084518 created "2016-06-24" @default.
- W2080084518 creator A5024147758 @default.
- W2080084518 creator A5077091603 @default.
- W2080084518 date "1971-04-01" @default.
- W2080084518 modified "2023-09-27" @default.
- W2080084518 title "A second- and higher-order perturbation analysis of two-body trajectories" @default.
- W2080084518 cites W1972537881 @default.
- W2080084518 cites W2059032069 @default.
- W2080084518 doi "https://doi.org/10.2514/3.6234" @default.
- W2080084518 hasPublicationYear "1971" @default.
- W2080084518 type Work @default.
- W2080084518 sameAs 2080084518 @default.
- W2080084518 citedByCount "4" @default.
- W2080084518 countsByYear W20800845182014 @default.
- W2080084518 crossrefType "journal-article" @default.
- W2080084518 hasAuthorship W2080084518A5024147758 @default.
- W2080084518 hasAuthorship W2080084518A5077091603 @default.
- W2080084518 hasConcept C111472728 @default.
- W2080084518 hasConcept C121332964 @default.
- W2080084518 hasConcept C129537906 @default.
- W2080084518 hasConcept C134306372 @default.
- W2080084518 hasConcept C138885662 @default.
- W2080084518 hasConcept C143724316 @default.
- W2080084518 hasConcept C151730666 @default.
- W2080084518 hasConcept C153150388 @default.
- W2080084518 hasConcept C155568369 @default.
- W2080084518 hasConcept C174256460 @default.
- W2080084518 hasConcept C177918212 @default.
- W2080084518 hasConcept C182365436 @default.
- W2080084518 hasConcept C2780586882 @default.
- W2080084518 hasConcept C28826006 @default.
- W2080084518 hasConcept C33923547 @default.
- W2080084518 hasConcept C62520636 @default.
- W2080084518 hasConcept C73905626 @default.
- W2080084518 hasConcept C86803240 @default.
- W2080084518 hasConcept C9376300 @default.
- W2080084518 hasConcept C97355855 @default.
- W2080084518 hasConceptScore W2080084518C111472728 @default.
- W2080084518 hasConceptScore W2080084518C121332964 @default.
- W2080084518 hasConceptScore W2080084518C129537906 @default.
- W2080084518 hasConceptScore W2080084518C134306372 @default.
- W2080084518 hasConceptScore W2080084518C138885662 @default.
- W2080084518 hasConceptScore W2080084518C143724316 @default.
- W2080084518 hasConceptScore W2080084518C151730666 @default.
- W2080084518 hasConceptScore W2080084518C153150388 @default.
- W2080084518 hasConceptScore W2080084518C155568369 @default.
- W2080084518 hasConceptScore W2080084518C174256460 @default.
- W2080084518 hasConceptScore W2080084518C177918212 @default.
- W2080084518 hasConceptScore W2080084518C182365436 @default.
- W2080084518 hasConceptScore W2080084518C2780586882 @default.
- W2080084518 hasConceptScore W2080084518C28826006 @default.
- W2080084518 hasConceptScore W2080084518C33923547 @default.
- W2080084518 hasConceptScore W2080084518C62520636 @default.
- W2080084518 hasConceptScore W2080084518C73905626 @default.
- W2080084518 hasConceptScore W2080084518C86803240 @default.
- W2080084518 hasConceptScore W2080084518C9376300 @default.
- W2080084518 hasConceptScore W2080084518C97355855 @default.
- W2080084518 hasLocation W20800845181 @default.
- W2080084518 hasOpenAccess W2080084518 @default.
- W2080084518 hasPrimaryLocation W20800845181 @default.
- W2080084518 hasRelatedWork W1485749161 @default.
- W2080084518 hasRelatedWork W1600125093 @default.
- W2080084518 hasRelatedWork W1646363774 @default.
- W2080084518 hasRelatedWork W1984759223 @default.
- W2080084518 hasRelatedWork W1995149639 @default.
- W2080084518 hasRelatedWork W2063448568 @default.
- W2080084518 hasRelatedWork W2082680242 @default.
- W2080084518 hasRelatedWork W2083832304 @default.
- W2080084518 hasRelatedWork W2087059312 @default.
- W2080084518 hasRelatedWork W2109448994 @default.
- W2080084518 hasRelatedWork W2126980719 @default.
- W2080084518 hasRelatedWork W2141518912 @default.
- W2080084518 hasRelatedWork W2170999230 @default.
- W2080084518 hasRelatedWork W2401093903 @default.
- W2080084518 hasRelatedWork W259570098 @default.
- W2080084518 hasRelatedWork W2731490348 @default.
- W2080084518 hasRelatedWork W50994915 @default.
- W2080084518 hasRelatedWork W79935211 @default.
- W2080084518 hasRelatedWork W2338043486 @default.
- W2080084518 hasRelatedWork W319244371 @default.
- W2080084518 isParatext "false" @default.
- W2080084518 isRetracted "false" @default.
- W2080084518 magId "2080084518" @default.
- W2080084518 workType "article" @default.